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2 years ago

Cole is 6 years older than Ryan. The sum of their ages is 84. How old is Cole

Mathematics

1 answer:

horsena [70]2 years ago

3 0

Answer:

It will be 78

Step-by-step explanation:

Because if you do 84 minus 6 you get 78

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I forgot what range is...can someone plz help me , thank u

disa [49]

Answer:

Step-by-step explanation:

Range is finding the difference between the biggest number(3) and the smallest number(0). 3-0=3

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2 years ago

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tatyana61 [14]

The inequality is < because the equal sign is an equality.
I don’t need a brai

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2 years ago

A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the other is bent into a circle.

mezya [45]

1. Divide wire b in parts x and b-x.

2. Bend the b-x piece to form a triangle with side (b-x)/3

There are many ways to find the area of the equilateral triangle. One is by the formula A= $\frac{1}{2}sin60^{o}side*side= \frac{1}{2} \frac{ \sqrt{3} }{2} (\frac{b-x}{3}) ^{2}= \frac{ \sqrt{3} }{36}(b-x)^{2}$
A= $\frac{ \sqrt{3} }{36}(b-x)^{2}=\frac{ \sqrt{3} }{36}( b^{2}-2bx+ x^{2} )=\frac{ \sqrt{3} }{36}b^{2}-\frac{ \sqrt{3} }{18}bx+ \frac{ \sqrt{3} }{36}x^{2}$

Another way is apply the formula A=1/2*base*altitude,
where the altitude can be found by applying the pythagorean theorem on the triangle with hypothenuse (b-x)/3 and side (b-x)/6

3. Let x be the circumference of the circle.

$2 \pi r=x$

so $r= \frac{x}{2 \pi }$

Area of circle = $\pi r^{2}= \pi ( \frac{x}{2 \pi } )^{2} = \frac{ \pi }{ 4 \pi ^{2} }* x^{2} = \frac{1}{4 \pi } x^{2}$

4. Let f(x)= $\frac{ \sqrt{3} }{36}b^{2}-\frac{ \sqrt{3} }{18}bx+ \frac{ \sqrt{3} }{36}x^{2}+\frac{1}{4 \pi } x^{2}$

be the function of the sum of the areas of the triangle and circle.

5. f(x) is a minimum means f'(x)=0

f'(x)= $\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x$ =0

$\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x=0$

$(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) x=\frac{ \sqrt{3} }{18}b$

$x= \frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

6. So one part is $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$ and the other part is b- $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

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2 years ago

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Solve for x help don't know how to do this

Charra [1.4K]

Both triangle are isosceles, which means their base angles are congruent.

54 + 2y = 180
2y = 126
y = 63

The measure of the base angles of the triangle on the left is 63 degrees.

180 - 63 = 117

117 + 2x = 180
2x = 63
x = 31.5

Answer:
x = 31.5

Hope this helps.

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3 years ago

In a toy factory 200 wooden soils cylinders 7 cm long and 35 mm in diameter have to be painted. What is the total surface area i

emmainna [20.7K]

By applying 2×pie×radius (radius+height)
This answer comes 1925000mm^3

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2 years ago